I'm sorry your Director had acted this way! You have every right to feel safe in the workplace and your Director has the duty and responsibility to look after you, her staff.

Having a nut allergy is serious and a lot of complications can arise from it... You Director should put in the same effort to you as she would a child if they suffered an allergy at the centre.

This is pretty serious, you should talk to your Director about the incident and make her aware that the reaction that may happen if you were exposed to nuts and maybe you should complete an Action Plan that should go in your file in case something like this happens again...